Reasoning, convincing and proving

Max and Bryony both have a box of sweets. What do you know about the number of sweets they each have?

This problem challenges you to find cubic equations which satisfy different conditions.

Can you find out which 3D shape your partner has chosen before they work out your shape?

Order these four calculations from easiest to hardest. How did you decide?

Can you put these four calculations into order of difficulty? How did you decide?

Use your knowledge of place value to try to win this game. How will you maximise your score?

I added together some of my neighbours' house numbers. Can you explain the patterns I noticed?

Try out this number trick. What happens with different starting numbers? What do you notice?

The Number Jumbler can always work out your chosen symbol. Can you work out how?

In this interactivity each fruit has a hidden value. Can you deduce what each one is worth?